Question

Expand
$(x + \frac{1}{x} )$
​

Answer 1

Correct question :

$(x + \frac{1}{x} )^2$

Answer :

Using identity - $( a + b )^2 = a^2 + b^2 + 2ab$

According to the question :

a = x , b = $( \frac{1}{x} )$

Solving :

→ $(x + \frac{1}{x} )^2$ = $x^2 + ( \frac{1}{x} )^2 + ( 2 × x × \frac{1}{x} )$

→ $x^2 + \frac{1}{x}^2 + 2$

→ $( x + ( \frac{1}{x} )^2)$

→ $x^2 + 2 + \frac{1}{x}^2$

♥ So, It's Done ♥ !!